Recent questions tagged class12

If $A=\{-1,0,1\}$ and $f:A\rightarrow A$ is defined as $f(x)=x^2$, then what type of function is $f$ ?

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow{a}=\hat i+\hat j+2\hat k\;and\;\overrightarrow{b}=2\hat i+\hat j-2\hat k,$then find the unit vector in the direction of $\;2\overrightarrow{ a}- \overrightarrow{b}$

asked May 24, 2013 by meena.p

1 answer

If $f:R\rightarrow R$ is defined as $f(x)=x^2+1$ then $f^{-1}(x)$ = ?

asked May 24, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R$ is defined as $f(x)=3x-5$, then $f^{-1}(x)$ = ?

asked May 24, 2013 by rvidyagovindarajan_1

1 answer

In the multiplicative group of cube root of unity, the order of $w^{2}$ is

asked May 24, 2013 by poojasapani_1

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The order of $[7]$ in $(Z_{9},+_{9})$ is

asked May 24, 2013 by poojasapani_1

1 answer

In the set of integers with operation $^{\ast}$ defined by $a ^{\ast} b=a+b-ab,$ the value of $3^{\ast}(4^{\ast} 5)$ is

asked May 24, 2013 by poojasapani_1

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Which of the following is not a group?

asked May 24, 2013 by poojasapani_1

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A monoid becomes a group if it also satisfies the

asked May 24, 2013 by poojasapani_1

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Which of the following is not a binary operation on $R$

asked May 24, 2013 by poojasapani_1

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$p\leftrightarrow q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is a contradiction ?

asked May 24, 2013 by poojasapani_1

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Which of the following is a tautology?

asked May 24, 2013 by poojasapani_1

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The conditional statement $ p\to q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

The number of rows in the truth table of $\sim[p\land(\sim q)]$ is

asked May 24, 2013 by poojasapani_1

1 answer

If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]

asked May 24, 2013 by poojasapani_1

1 answer

If a compound statement is made up of three simple statements, then the number of rows in the truth table is

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following are statements?\[\begin{array}{1 1}(1)May \;God \;bless\; you.&(2)Rose\; is\; a\; flower.\\(3)Milk \;is \;White.&(4)1 \;is\; a\; prime \;number.\end{array}\]

asked May 24, 2013 by poojasapani_1

1 answer

The particular integral of the differential equation $f(D)y=e^{ax}$ where $\;.f(D)=(D-a)g(D).g(a)\neq 0$ is

asked May 24, 2013 by poojasapani_1

1 answer

The P.L of $(3D^{2}+D-14)y=13e^{2x}$ is

asked May 24, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$-y\tan x=\cos x $ is

asked May 24, 2013 by poojasapani_1

1 answer

On putting $y=vx,$ the homogeneous differential equation $x^{2}dy+y(x+y)dx=0$ becomes

asked May 24, 2013 by poojasapani_1

1 answer

If $f '(x)=\sqrt{x}$ and $f(1)=2$ then $f(x)$ is

asked May 24, 2013 by poojasapani_1

1 answer

If $\large\frac{dy}{dx}=\frac{x-y}{x+y}$ then

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation formed by eliminating $A$ and $B$ from the relation $y=e^{x}(A\cos x+ B\sin x) $ is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation obtained by eliminating $a$ and $b$ from $y=ae^{3x}+be^{-3x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

If $y=ke^{\lambda x}$ then its differential equation is

asked May 23, 2013 by poojasapani_1

1 answer

The degree of the differential equation $\;\Large c=\frac{\left[1+\left(\frac{dy}{dx}\right)^{3}\right]^{2/3}}{\frac{d^{3}y}{dx^{3}}}$ where $c$ is a constant

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation satisfied by all the straight lines in $xy$ plane is

asked May 23, 2013 by poojasapani_1

1 answer

The amount present in a radio active element disintegrates at a rate proportional to its amount .The differential equation corresponding to the above statement is ($k$ is negative)

asked May 23, 2013 by poojasapani_1

1 answer

The degree of the differential equation $\Large\sqrt{1+\left(\frac{dy}{dx}\right)^{1/3}}=\frac{d^{2}y}{dx^{2}}$

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of the family of lines $y=mx$ is

asked May 23, 2013 by poojasapani_1

1 answer

In the following cases,find the distance of each of the given points from the corresponding given plane (d)Point(-6,0,0),Plane $2x-3y+6z-2=0$

asked May 23, 2013 by rvidyagovindarajan_1

1 answer

A particular integral of $(D^{2}-4D+4)y=e^{2x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

The complementary function of $(D^{2}+1)y=e^{2x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$+py=Q$ is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of all circles with centre at the origin is

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation of all non-vertical lines in a plane is?

asked May 23, 2013 by poojasapani_1

1 answer

Find the $\perp$ distance of the point (2,3,-5) from the plane $x+2y-2z-9=0$

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

Find the $\perp$ distance of the point (3,-2,1) from the plane $2x-y+2z+3=0$

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

The differential equation $\large\left(\frac{dx}{dy}\right)^{2}$$+5y^{1/3}=x$ is

asked May 22, 2013 by poojasapani_1

1 answer

$y=cx-c^{2}$ is the general solution of the differential equation

asked May 22, 2013 by poojasapani_1

1 answer

Solution of $\large\frac{dx}{dy}$$+mx=0,$where $m<0$ is

asked May 22, 2013 by poojasapani_1

1 answer

Integrating factor of $\large\frac{dy}{dx}+\frac{1}{x\log x}$$.y=\large\frac{2}{x^{2}}$ is

asked May 22, 2013 by poojasapani_1

1 answer

The integrating factor of $dx+xdy=e^{-y}\sec^{2}y dy$ is

asked May 22, 2013 by poojasapani_1

1 answer

Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angles between them.$(e)\; 4x + 8y + z -8 = 0 $ and $ y + z -4 =0$

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

If $ \cos x $ is an integrating factor of the differential equation $\large\frac{dy}{dx}$$+Py=Q$ then $P$=

asked May 22, 2013 by poojasapani_1

1 answer

Determine whether the given planes are parallel or perpendicular, and in case they are neither ,then find the angles between them. $(d)\; 2x -y + 3z -1 = 0 \: and\: 2x -y + 3z + 3 = 0 $

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

The integrating factor of $\large\frac{dy}{dx}$$+2\large \frac{y}{x}$$=e^{4x}$ is

asked May 22, 2013 by poojasapani_1

1 answer

Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angles between them. $(c)\; 2x -2y + 4z + 5 = 0$ and $3x -3y + 6z - 1 = 0 $

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

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